1609584480 has 768 divisors, whose sum is σ = 7106641920. Its totient is φ = 331776000.

The previous prime is 1609584479. The next prime is 1609584517. The reversal of 1609584480 is 844859061.

1609584480 is a `hidden beast` number, since 1 + 6 + 0 + 95 + 84 + 480 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936430 + ... + 15936530.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^1609584480 is an apocalyptic number.

1609584480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553320960).

1609584480 is an abundant number, since it is smaller than the sum of its proper divisors (5497057440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1609584480 is a wasteful number, since it uses less digits than its factorization.

1609584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1609584480 is about 40119.6271169112. The cubic root of 1609584480 is about 1171.9378798900.

The spelling of 1609584480 in words is "one billion, six hundred nine million, five hundred eighty-four thousand, four hundred eighty".